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7 results about "Master equation" patented technology

In physics, chemistry and related fields, master equations are used to describe the time evolution of a system that can be modelled as being in a probabilistic combination of states at any given time and the switching between states is determined by a transition rate matrix. The equations are a set of differential equations over time of the probabilities that the system occupies each of the different states.

Resilient distributed microgrid control

A quantum-distributed microgrid controller employing a synchronization mechanism by leveraging the quantum properties of qubits. Since the distributed control problems of electrical networks such as microgrids can be modeled as networked differential equations, a proposed master equation is leveraged to construct the network of differential equations. By characterizing proper observables, expectation values of all the observers at all nodes will eventually get synchronized to a possibly time-varying target value and the synchronization rule follows the forced Kuramoto model. The quantum synchronization scheme is exploited to regulate AC microgrids' frequency and DC microgrids' voltage and guarantee precise power sharing. Due to the superposition feature of qubits, the QDC provides a foundation for introducing more enhanced quantum-secure distributed control for microgrids through randomizing the θ angle of qubits in the initialization step, which finally results in an unprecedented security for distributed control of AC and DC microgrids.
Owner:THE RES FOUNDATION FOR THE STATE UNIV OF NEW YORK

Double quantum dot model simulation method and device, electronic equipment and storage medium

Embodiments of the present application provide a double quantum dot model simulation method and device, electronic equipment and storage medium. The scheme is as follows: a double quantum dot model is constructed as a to-be-simulated model; a Hamiltonian including a first energy is generated according to a performance parameter of the to-be-simulated model, wherein the first energy is a tunneling energy between electrons in the to-be-simulated model due to the spin-orbit coupling effect when the left and right quantum dots have opposite spins; based on the Hamiltonian, a target tunneling coefficient between source-drain electrodes and the left and right quantum dots in the to-be-simulated model is calculated; a target function relationship indicating a current in the to-be-simulated model is determined according to the target tunneling coefficient and a preset master equation, and the preset master equation is used to describe the dynamic change of the electron or hole distribution corresponding to the tunneling process in the to-be-simulated model; and the to-be-simulated model is simulated for drain current according to the target function relationship. Through the technical scheme provided by the embodiments of the present application, the drain current simulation of the double quantum dot model can be realized.
Owner:ORIGIN QUANTUM INSTR CO +1

Method and unit for characterizing a quantum system

The invention provides a method and a quantum characterisation unit that (i) prepares the quantum system in at least two (preferably three or more) distinct dynamical configurations, each describable by its own stochastic master equation (SME) but sharing a subset of physical parameters; (ii) records continuous detector signals, bins or filters them, and computes low order correlation functions (one, two, three point, optionally higher order) from repeated measurements; and (iii) jointly fits simulated correlation functions — generated directly from the SME without trajectory sampling — to the experimentally obtained ones, using a least squares (or similar) optimisation to assign values to the shared parameters. The method exploits the fact that different configurations break parameter degeneracies that would be hidden in a single configuration.
Owner:ALICE & BOB +1

Method and apparatus for regulating negative differential conductance

ActiveCN117010513BQuantum computersComplex mathematical operationsNegative differential conductanceParticle physics
The application is a method and device for regulating negative differential conductance, comprising: obtaining a total Hamiltonian of a double-mode quantum optical field coupled with a double quantum dot system; adopting quantumization processing for the interaction between the optical field and the quantum dot; processing the electron-photon coupling term in the total Hamiltonian through canonical transformation, obtaining the reduced density matrix of the system by tracing the electron reservoir and the degree of freedom of the optical field, and obtaining the master equation by using the Born-Markov approximation; obtaining the rate and current equations through the master equation, and solving to obtain the steady-state current expression; regulating the coupling strength of the double-mode quantum state optical field and the double quantum dot system through the steady-state current expression to realize the regulation of the negative differential conductance effect; without complex adjustment of the structure of the mesoscopic quantum dot system, the complexity and cost of constructing a device based on the negative differential conductance effect are reduced, and the design and implementation of the negative differential conductance device are facilitated.
Owner:GUANGZHOU COLLEGE OF TECH BUSINESS CO LTD

Application of the schwinger oscillator construct of angular momentum to an interpretation of the superconducting transmon qubit

Systems and methods are disclosed herein for computing a frequency response spectrum for a superconducting transmon. An example method includes receiving, by communications hardware, an applied voltage function, and computing a first approximation for a set of coefficients of a component form Lindblad master equation, wherein the component form Lindblad master equation is determined using a Hamiltonian based on a Schwinger oscillator model of angular momentum. The example method also includes computing a second approximation for a set of eigenvalue energies of the component form Lindblad master equation and determining a set of coupled differential equations. The example method also includes applying a Runge Kutta method to solve the set of coupled differential equations to obtain a set of matrix elements of a density operator and computing an expectation value of a Schwinger angular momentum component to obtain the frequency response.
Owner:WELLS FARGO BANK NA

Machine learning method for simulating quantum computing system errors based on physical observations

The application discloses a kind of machine learning methods based on physical observation analog quantum computing system error, belong to involve quantum computing field, including: step 1: from the one-dimensional p wave topological superconductor of belonging to BDI symmetry class constructs minimum extensible 2-MZM island;Step 2: according to the minimum extensible 2-MZM island established, the ground state hamiltonian of island is obtained;Step 3: in minimum extensible 2-MZM island, the hamiltonian of the interaction of boson heat bath is obtained by introducing boson heat bath interaction;Step 4: the state of minimum extensible 2-MZM island is described with time t changes by Pauli master equation;Step 5: the probability of different errors is obtained by using standard dwell time monte carlo algorithm to simulate Pauli master equation;Step 6: the final state probability of the i th MC event is predicted on minimum extensible 2-MZM island by training machine learning model through monte carlo event.This method can effectively predict error probability in the minimum extensible range, significantly improve efficiency.
Owner:SUN YAT SEN UNIV

A quantum physics twinning method and system

The application discloses a quantum physics twin method and system, the method comprises the following steps: measuring a completely closed microcosmic dynamics system to be researched, obtaining a digitized initial state of the microcosmic dynamics system described by a density matrix; for a Markov approximation case, adopting a lindblad master equation to describe evolution of the microcosmic dynamics system based on the initial state, obtaining a result state of the microcosmic dynamics system; and applying the initial state and the result state. The application proposes a quantum physics twin system corresponding to a microcosmic system, and the idea of twinning is used to research dynamic processes in microcosmic systems such as quantum optics, quantum biology and quantum statistical mechanics in a digital world, the microcosmic system is researched as a digital model, and application of the microcosmic system is considered.
Owner:SICHUAN YUANJIANG TECH CO LTD